11.William Brown is evaluating two new business opportunities. Each of the opportunities shown below has a 15-year life. William uses a 12% discount rate.

11.William Brown is evaluating two new business opportunities. Each of the opportunities shown below has a 15-year life. William uses a 12% discount rate.

                                                                           Option 1                  Option 2

Equipment purchase and installation            $71,200                $82,800

Annual cash flow                                             $29,000                 $31,130

Equipment overhaul in year 6                       -$4,710

Equipment overhaul in year 8                                                        -$5,730

(a)Calculate the net present value of the two opportunities. (Round present value factor calculations to 4 decimal places, e.g. 1.2514 and the final answers to 0 decimal places, e.g. 59,991.)Option 1                     Option2

?                                         ?

(b) Calculate the profitability index of the two opportunities. (Round answers to 2 decimal places, e.g. 15.25.)Option 1                    Option 2

?                                     ?

(c) Which option should William choose?William should choose select an option            Option 1           or             Option 2

12.Flint Pix currently uses a six-year-old molding machine to manufacture silver picture frames. The company paid $95,000 for the machine, which was state of the art at the time of purchase. Although the machine will likely last another ten years, it will need a $12,000 overhaul in four years. More important, it does not provide enough capacity to meet customer demand. The company currently produces and sells 9,000 frames per year, generating a total contribution margin of $92,500.Martson Molders currently sells a molding machine that will allow Flint Pix to increase production and sales to 12,000 frames per year. The machine, which has a ten-year life, sells for $138,000 and would cost $14,000 per year to operate. Flint Pix’s current machine costs only $8,000 per year to operate. If Flint Pix purchases the new machine, the old machine could be sold at its book value of $5,000. The new machine is expected to have a salvage value of $20,200 at the end of its ten-year life. Flint Pix uses straight-line depreciation.

(a)Calculate the new machine’s net present value assuming a 14% discount rate. 

(b)Use Excel or a similar spreadsheet application to calculate the new machine’s internal rate of return.

(C)Calculate the new machine’s payback period. (Round answer to 2 decimal places, e.g. 1.25.)payback period ___?____  years